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Finding the Fourth Proportional to 477,545.26, 716,322.74 and 145,121.26

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Solution

The fourth proportional to 477,545.26, 716,322.74 and 145,121.26 is: 217,683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,545.26 : 716,322.74 = 145,121.26 : x
  2. Step 2: Convert to fraction form
    477,545.26/716,322.74 = 145,121.26/x
  3. Step 3: Cross multiply
    477,545.26x = 716,322.74 × 145,121.26
  4. Step 4: Simplify right side
    477,545.26x = 103,953,658,595.45
  5. Step 5: Solve for x
    x = 103,953,658,595.45/477,545.26
  6. Step 6: Final answer
    x = 217,683.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.